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External Excitation of Neurons Using Electric and Magnetic Fields in One- and Two-dimensional Cultures

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Magnetic and electric excitations in split ring resonators.

Jiangfeng Zhou¹, Thomas Koschny, Costas M Soukoulis

¹Ames Laboratory and Department of Physics and Astronomy, Iowa State University, Ames, Iowa 50011, USA. jfengz@iastate.edu

|June 25, 2009

Summary

This summary is machine-generated.

This study explores U-shaped split-ring resonators (SRRs), revealing higher-order electric and magnetic resonance modes. Magnetic resonances correspond to odd half-wavelengths, while electric resonances align with integer wavelengths.

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Area of Science:

Electromagnetism
Metamaterials
Nanophotonics

Background:

Split-ring resonators (SRRs) are fundamental metamaterial structures.
Understanding their electromagnetic resonance modes is crucial for device applications.

Purpose of the Study:

To investigate the electric and magnetic resonance modes in U-shaped SRRs.
To characterize higher-order excitation modes and their current distributions.
To analyze the dependence of electric and magnetic moments on SRR geometry.

Main Methods:

Theoretical analysis of U-shaped SRR electromagnetic resonances.
Identification of current distribution patterns for different resonance modes.
Mathematical formulation of electric and magnetic moments.

Main Results:

Higher-order electric and magnetic resonance modes were identified in U-shaped SRRs.
Magnetic resonances correspond to odd multiples of half-wavelengths (λ/2, 3λ/2, 5λ/2).
Electric resonances correspond to integer multiples of full wavelengths (λ, 2λ, 3λ).
The magnetic moment of magnetic resonance diminishes to zero as the SRR side arm length approaches zero.

Conclusions:

U-shaped SRRs exhibit complex resonance behaviors beyond fundamental modes.
The geometrical parameters, specifically side arm length, critically influence the magnetic resonance properties.
Simple rod structures lack magnetic resonance, highlighting the importance of the split-ring geometry.